Question

Rashid travels 240km from Abu Dhabi to Sharjah driving 120km/h for 2 hours. His parents strongly suggest he slow down by v km/h, even though it will take him t hours longer to make the trip, or he will lose his driving privilege. Which relation shows time, t, it will now take Rashid to make the trip relative to the speed, v with which he slows down?

Answer 1

Answer: The relation between the time it will take Rashid to make the trip, t, and the speed at which he slows down, v, can be determined by using the formula:

distance = speed * time

We know that Rashid travels 240 km from Abu Dhabi to Sharjah and that he originally drove at 120 km/h for 2 hours. So, we can write the equation:

240 = 120 * 2

Now, if Rashid slows down by v km/h, then the new speed is (120 - v) km/h and the new time, t, can be determined by substituting the new speed and distance into the equation:

240 = (120 - v) * t

So the relation shows that t = (240 / (120 - v))

This relation shows that the time, t, it will now take Rashid to make the trip is directly proportional to the speed, v, at which he slows down. As Rashid slows down, the time taken to make the trip will increase, and as he speeds up, the time will decrease.

Explanation: